I don't know what party he is registered with, but he is pretty conservative. I heard him on the Sean Hannity show, he called in to defend Bush and his approach to the WOT. Woods also stated that he has a degree in Political Science, from MIT (!), and therefore (I paraphrase): unlike some other hollywood celebs he actually knows what he's talking about.
It was a great radio moment.
He's undoubtedly a brilliant man-especially for someone who makes a living in Hollywood-who would make a fine Republican, especially as a candidate for public office in the future.
-good times, G.J.P. (Jr.)